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Finding the Fourth Proportional to 535.68, 802.24 and 318.88

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Solution

The fourth proportional to 535.68, 802.24 and 318.88 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 802.24 = 318.88 : x
  2. Step 2: Convert to fraction form
    535.68/802.24 = 318.88/x
  3. Step 3: Cross multiply
    535.68x = 802.24 × 318.88
  4. Step 4: Simplify right side
    535.68x = 255,818.29
  5. Step 5: Solve for x
    x = 255,818.29/535.68
  6. Step 6: Final answer
    x = 477.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.